a)\(x^2-3=\left(x-3\right)x\)
b)\(x^2-36=\left(x-6\right)^2=\left(x-6\right)\left(x+6\right)\)
c)\(x^2+2x+1=x^2+x+x+1=x\left(x+1\right)+\left(x+1\right)=\left(x+1\right)^2\)
d)\(x^2-4x+4=x^2-2x2+4=\left(x-2\right)^2=\left(x-2\right)\left(x+2\right)\)
e)\(5x+x^2=x\left(5+x\right)\)
f)\(4x^2-9=\left(2x\right)^2-9=\left(2x-3\right)\left(2x+3\right)\)
h)\(4x-x^2=x\left(4-x\right)\)
i\(x^2+6x+9=x^2+2x3+9=\left(x+3\right)^2=\left(x+3\right)\left(x-3\right)\)